To avoid a loss in statistical power as a result of homozygous individ
uals being selected as parents of a mapping population, one can use mu
ltiple families of line crosses for quantitative trait genetic linkage
analysis. Two strategies of combining data are investigated: the fixe
d-model and the random-model strate???? gies. The fixed-model approach
estimates and tests the average effect of gene substitution for each
parent, while the random-model approach treats each effect of gene sub
stitution as a random variable and directly estimates and tests the va
riance of gene substitution. Extensive Monte Carlo simulations verify
that the two strategies perform equally well, although the random mode
l is preferable in combining data from a large number of families. Sim
ulations also show that there may be an optimal sampling strategy (num
ber of families vs. number of individuals per family) in which QTL map
ping reaches its maximum power and minimum estimation error. Deviation
from the optimal strategy reduces the efficiency of the method.